Regresar

Rarita-Schwinger Type Operators on Cylinders

Abstract:

Here we define Rarita-Schwinger operators on cylinders and construct their fundamental solutions. Further the fundamental solutions to the cylindrical Rarita-Schwinger type operators are achieved by applying translation groups. In turn, a Borel-Pompeiu Formula, Cauchy Integral Formula and a Cauchy Transform are presented for the cylinders. Moreover we show a construction of a number of conformally inequivalent spinor bundles on these cylinders. Again we construct Rarita-Schwinger operators and their fundamental solutions in this setting. Finally we study the remaining Rarita-Schwinger type operators on cylinders. © 2012 Springer Basel AG.

Año de publicación:

2012

Keywords:

  • Rarita-Schwinger operator on cylinder
  • conformal spinor bundle on cylinder
  • fundamental solution

Fuente:

googlegoogle
scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

  • Optimización matemática
  • Modelo matemático

Áreas temáticas:

  • Matemáticas
  • Análisis

Contribuidores:

Ryan J.Ryan J.
Carmen Judith Vanegas EspinozaCarmen Judith Vanegas Espinoza
Li J.Li J.